In this work, we give some uniqueness theorems for non-constant zero-order meromorphic functions when they and their q-shifts partially share values in the extended complex plane. This is a continuation of previous works of Charak et al. (J Math Anal Appl 435(2):1241–1248, 2016) and of Lin et al. (Bull Korean Math Soc 55(2):469–478, 2018). Furthermore, we show some uniqueness results in the case multiplicities of partially shared values are truncated to level \(m\ge 4\). As a consequence, we obtain a uniqueness result for an entire function of zero-order if it and its q-shift partially share three distinct values \(a_1, a_2, a_3\) without truncated multiplicities, in which we do not need to count \(a_j\)-points of multiplicities greater than 38 for all \(j=1,2,3\).

在这项工作中，当非常数零阶亚纯函数及其q位移在扩展复平面中部分共享值时，我们给出一些唯一性定理。这是Charak等人先前工作的延续。（J Math Anal Appl 435（2）：1241-1248，2016）和Lin等人。（公牛韩国数学会55（2）：469–478，2018）。此外，在部分共享值的多重性被截断为水平\（m \ ge 4 \）的情况下，我们显示了一些唯一性结果。结果，如果零阶函数及其q移位部分共享三个截然不同的值\（a_1，a_2，a_3 \）而没有截断的多重性，则我们可以获得零阶函数的唯一性结果，在此我们不需要计算\（a_j \）所有\（j = 1,2,3 \）的多重性的大于38的点。